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If the sum of the squares of the vector's components is ' 1 ',
then the vector's magnitude is ' 1 '.
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∙ 11y ago
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How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Can a unit vector have any components with magnitude greater than unity?
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
Define the angle of the equilibrant vector?
vector equal in magnitude and opposite direction
Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
What is a unit vector?
It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.
How can the resultant of two vecters of the same magnitude be equal to the magnitude of either vector?
If the directions of two vectors with equal magnitudes differ by 120 degrees, then the magnitude of their sum is equal to the magnitude of either vector.
When is the vector sum not equal in magnitude to the algebraic sum?
The magnitude of the vector sum will only equal the magnitude of algebraic sum, when the vectors are pointing in the same direction.
When does distance traveled equal the magnitude of displacement vector?
Distance traveled is equal to the magnitude of the displacement vector when the motion is in a straight line.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Can a unit vector have any components with magnitude greater than unity?
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
What does a vector equal?
Any other vector with with the same magnitude and the same direction.
Define the angle of the equilibrant vector?
vector equal in magnitude and opposite direction
Can the magnitude of resultant of two vectors of the same magnitude be equal of magnitude of either vector?
yes
How do you find vector components when given the vectors are parallel and the magnitude of each vector is equal to 1?
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
Can the magnitude of a vector be equal to one of its components?
Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.
What magnitude is not possible when a vector of a magnitude of 3 is added to a vector of a magnitude of 4?
A magnitude of less than 1. cw: An absolute magnitude of less than 1.
